| Stability Analysis of Stochastic Swarm Systems |
| |
| 作者姓名： | YANG Bo FANG Huajing |
| |
| 作者单位： | Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China |
| |
| 基金项目： | Supported by the National Natural Science Foundation of China （60574088, 60274014） |
| |
| 摘 要： | In this paper,we present a model of stochastic swarm system and prove the stability of this kind of systems. We establish the stable aggregating behavior for the group using a coordination control scheme. This individual-based control scheme is a combination of attractive and repulsive interactions among the individuals in the group,which ensures the cohesion of the group and collision avoidance among the individuals. The dynamics of each individual depends on the relative positions between the individuals and the influences of the random disturbances. Under the influences of the noises,this position-based control strategy still generates the stable aggregating behavior harmoniously for the group and the self-organized swarm pattern is formed.
|
| 关 键 词： | 混沌群系统 稳定性分析 随机差分方程 自组织 |
| 文章编号： | 1007-1202（2007）03-0506-05 |
| 收稿时间： | 12 September 2006 |
| 修稿时间： | 2006-09-12 |
Stability analysis of stochastic swarm systems |
| |
| YANG Bo FANG Huajing.Stability Analysis of Stochastic Swarm Systems[J].Wuhan University Journal of Natural Sciences,2007,12(3):506-510. |
| |
| Authors: | Yang Bo Fang Huajing |
| |
| Institution: | (1) Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China |
| |
| Abstract: | In this paper, we present a model of stochastic swarm system and prove the stability of this kind of systems. We establish the stable aggregating behavior for the group using a coordination control scheme. This individual-based control scheme is a combination of attractive and repulsive interactions among the individuals in the group, which ensures the cohesion of the group and collision avoidance among the individuals. The dynamics of each individual depends on the relative positions between the individuals and the influences of the random disturbances. Under the influences of the noises, this position-based control strategy still generates the stable aggregating behavior harmoniously for the group and the self-organized swarm pattern is formed. |
| |
| Keywords: | stochastic swarm systems swarm pattern stochastic differential equations Lyapunov stability theory |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
